Preservation of DMRL and IMRL aging classes under the formation of order statistics and coherent systems

DOI10.1016/J.SPL.2018.02.005zbMath1392.60072OpenAlexW2790633189MaRDI QIDQ1640965

Y. Aharonov

Publication date: 14 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.02.005

zbMATH Keywords

order statisticsmean residual lifecoherent systemsdistorted distributions

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (4)

Weak aging properties for coherent systems with statistically dependent component lifetimes ⋮ Bounds for joint probabilities of multistate systems using preservation of log‐concavity ⋮ On relevation redundancy to coherent systems at component and system levels ⋮ Resolving an old problem on the preservation of the IFR property under the formation of \(k\)-out-of-\(n\) systems with discrete distributions

Cites Work

• Unnamed Item
• Closure of the NBUE and DMRL classes under formation of parallel systems
• Comparisons in the mean residual life order of coherent systems with identically distributed components

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